Conformal aggregation models
These simulations depict variants of the Hastings-Levitov growth processes, studied in a series of papers with Johansson Viklund and Turner.
See "Small particle limits in regularized Laplacian random growth model"
for definitions and rigorous results.
All clusters are aggregates of N=25,000 particles, with basic parameter size d=0.02.
Colors change every 5,000 arrivals.
Alpha=0:
Alpha=0.5:
Regularization parameter decreasing from s=1 (left) via 2=0.2 (center) to
s=0.02 (right).
Alpha=1.0:
Regularization parameter decreasing from s=1 (left) via 2=0.2 (center) to
s=0.02 (right).
Alpha=1.5:
Regularization parameter decreasing from s=1 (left) via 2=0.2 (center) to
s=0.02 (right).
Alpha=2.0:
Regularization parameter decreasing from s=1 (left) via 2=0.2 (center) to
s=0.02 (right).
